A plastic cup of negligible mass contains 0.280 kgkg of an unknown liquid at a temperature of 36.0 ∘C∘C. A 0.0270 kgkg mass of ice at a temperature of 0.0∘C∘C is added to the liquid, and when thermal equilibrium is reached the temperature of the combined substances is 14.0 ∘C∘C. Assuming no heat is exchanged with the surroundings, what is the specific heat capacity of the unknown liquid? Express your answer in joules per kilogram-kelvin.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
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A plastic cup of negligible mass contains 0.280 kgkg of an unknown liquid at a temperature of 36.0 ∘C∘C.

A 0.0270 kgkg mass of ice at a temperature of 0.0∘C∘C is added to the liquid, and when thermal equilibrium is reached the temperature of the combined substances is 14.0 ∘C∘C. Assuming no heat is exchanged with the surroundings, what is the specific heat capacity of the unknown liquid?
Express your answer in joules per kilogram-kelvin.
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